-iterate :: NaturalT s => s -> (a -> a) -> a -> TFVec s a
-iterate s f x = let s' = fromIntegerT s in TFVec (P.take s' $ P.iterate f x)
+iterate :: NaturalT s => (a -> a) -> a -> TFVec s a
+iterate = iteraten (undefined :: s)
+
+iteraten :: NaturalT s => s -> (a -> a) -> a -> TFVec s a
+iteraten s f x = let s' = fromIntegerT s in TFVec (P.take s' $ P.iterate f x)
+
+generate :: NaturalT s => (a -> a) -> a -> TFVec s a
+generate = generaten (undefined :: s)
+
+generaten :: NaturalT s => s -> (a -> a) -> a -> TFVec s a
+generaten s f x = let s' = fromIntegerT s in TFVec (P.take s' $ P.tail $ P.iterate f x)